We also compare and contrast the behavior of the planar Hall conductivity when (i) external magnetic field is applied and the strain induced field is absent, and (ii) when strain induced field is present but external magnetic field is absent. We find the contribution to the planar Hall conductivity to be different both in sign and magnitude, which is in contrast to earlier claims [1]}. Specifically \(\sigma _{xz} (B)\)  increases with increasing \(B\) , while \(\sigma _{xz} (B_5)\)  decreases with increasing \(B_5\) .
This feature has been highlighted in Fig. REF  (a). In other words, the chiral gauge field, alone, results in strong sign-reversal. We attribute this behavior to the inclusion of intervalley scattering, momentum dependence, as well as charge conservation that have been neglected in earlier works.
